0.5x-0.333(x-4)=3x

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Solution for 0.5x-0.333(x-4)=3x equation: 


Simplifying
0.5x + -0.333(x + -4) = 3x

Reorder the terms:
0.5x + -0.333(-4 + x) = 3x
0.5x + (-4 * -0.333 + x * -0.333) = 3x
0.5x + (1.332 + -0.333x) = 3x

Reorder the terms:
1.332 + 0.5x + -0.333x = 3x

Combine like terms: 0.5x + -0.333x = 0.167x
1.332 + 0.167x = 3x

Solving
1.332 + 0.167x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
1.332 + 0.167x + -3x = 3x + -3x

Combine like terms: 0.167x + -3x = -2.833x
1.332 + -2.833x = 3x + -3x

Combine like terms: 3x + -3x = 0
1.332 + -2.833x = 0

Add '-1.332' to each side of the equation.
1.332 + -1.332 + -2.833x = 0 + -1.332

Combine like terms: 1.332 + -1.332 = 0.000
0.000 + -2.833x = 0 + -1.332
-2.833x = 0 + -1.332

Combine like terms: 0 + -1.332 = -1.332
-2.833x = -1.332

Divide each side by '-2.833'.
x = 0.4701729615

Simplifying
x = 0.4701729615

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